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Fifth order predictor-corrector methods for solving third order delay differential equations

This paper will consider the implementation of predictor-corrector methods of Adams-Moulton type to solve third order delay differential equations (DDEs) directly without transform the equations into system of first order DDEs. We are using fifth order one point and fifth order two-point block metho...

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Main Authors: Hoo, Yann Seong, Abdul Majid, Zanariah
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2014
Online Access:http://psasir.upm.edu.my/id/eprint/57330/1/Fifth%20order%20predictor-corrector%20methods%20for%20solving%20third%20order%20delay%20differential%20equations.pdf
http://psasir.upm.edu.my/id/eprint/57330/
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spelling my.upm.eprints.573302017-09-26T04:04:28Z http://psasir.upm.edu.my/id/eprint/57330/ Fifth order predictor-corrector methods for solving third order delay differential equations Hoo, Yann Seong Abdul Majid, Zanariah This paper will consider the implementation of predictor-corrector methods of Adams-Moulton type to solve third order delay differential equations (DDEs) directly without transform the equations into system of first order DDEs. We are using fifth order one point and fifth order two-point block method in the form of Adams-Moulton methods. The two-point block method will compute the numerical solution at two points simultaneously. Both methods are implemented in predictor-corrector (PECE) mode. The methods will approximate the solutions for retarded DDEs of constant and pantograph type by using constant step size. Numerical results are presented to show that the proposed methods are suitable for solving third order DDEs. The two points block method is better than one point method in term of lesser total step and function call. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57330/1/Fifth%20order%20predictor-corrector%20methods%20for%20solving%20third%20order%20delay%20differential%20equations.pdf Hoo, Yann Seong and Abdul Majid, Zanariah (2014) Fifth order predictor-corrector methods for solving third order delay differential equations. In: 3rd International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2014), 12–14 Aug. 2014, Langkawi, Kedah. (pp. 94-98). 10.1063/1.4903568
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description This paper will consider the implementation of predictor-corrector methods of Adams-Moulton type to solve third order delay differential equations (DDEs) directly without transform the equations into system of first order DDEs. We are using fifth order one point and fifth order two-point block method in the form of Adams-Moulton methods. The two-point block method will compute the numerical solution at two points simultaneously. Both methods are implemented in predictor-corrector (PECE) mode. The methods will approximate the solutions for retarded DDEs of constant and pantograph type by using constant step size. Numerical results are presented to show that the proposed methods are suitable for solving third order DDEs. The two points block method is better than one point method in term of lesser total step and function call.
format Conference or Workshop Item
author Hoo, Yann Seong
Abdul Majid, Zanariah
spellingShingle Hoo, Yann Seong
Abdul Majid, Zanariah
Fifth order predictor-corrector methods for solving third order delay differential equations
author_facet Hoo, Yann Seong
Abdul Majid, Zanariah
author_sort Hoo, Yann Seong
title Fifth order predictor-corrector methods for solving third order delay differential equations
title_short Fifth order predictor-corrector methods for solving third order delay differential equations
title_full Fifth order predictor-corrector methods for solving third order delay differential equations
title_fullStr Fifth order predictor-corrector methods for solving third order delay differential equations
title_full_unstemmed Fifth order predictor-corrector methods for solving third order delay differential equations
title_sort fifth order predictor-corrector methods for solving third order delay differential equations
publisher AIP Publishing LLC
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/57330/1/Fifth%20order%20predictor-corrector%20methods%20for%20solving%20third%20order%20delay%20differential%20equations.pdf
http://psasir.upm.edu.my/id/eprint/57330/
_version_ 1643836455453196288
score 13.211869

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